Answers revealed in the comments.
GAME 1
In 2013, who became the first woman to be the sole winner of the Tony Award for Best Original Score? Women had won the award previously, but always as part of a songwriting team.
GAME 2
Name two of the six television series in which actor John Lithgow has appeared in at least 10 episodes.
hebspeaks 
game one answer: Cyndi Lauper
game two answers:
3rd Rock from the Sun
Trial & Error
Twenty Good Years
Once Upon a Time in Wonderland
Dexter
The Crown